A mixed number is a combination of a whole number and a proper fraction. It is usually expressed as a whole number plus a fraction. An example of a mixed number is three and one-half, written as 3 ½. Expressing a fraction in its simplest form is a very important concept in mathematics. Simplifying a fraction means to reduce it to its lowest terms, or its most basic form. To express 105 20 as a mixed number in its simplest form, it must first be converted into an improper fraction.
Converting an Improper Fraction
In order to convert an improper fraction to a mixed number, the numerator must be divided by the denominator. The quotient is the whole number part of the mixed number, while the remainder is the numerator of the fractional part. To express 105 20 as a mixed number in its simplest form, the numerator, 105, needs to be divided by the denominator, 20.
105 divided by 20 is 5 with a remainder of 5. Thus, 105 20 can be expressed as a mixed number in its simplest form as 5 5/20. The whole number part is 5 and the fractional part is 5/20. Since 5 is the numerator and 20 is the denominator, 5/20 is already in its simplest form. This expression can be further simplified by writing it as a decimal, which is 5.25.
Simplifying Fractions
To express a fraction in its simplest form, the numerator and denominator must both be divided by their greatest common factor, or GCF. This is a number which divides both the numerator and denominator evenly, with no remainder. An easy way to determine the GCF of two numbers is to list the factors of each and then find the largest number that is common to both. For example, the factors of 20 are 1, 2, 4, 5, 10 and 20. The factors of 5 are 1 and 5. The greatest common factor of both is 5.
When the GCF of both numbers is determined, it can be divided into both the numerator and denominator. In the case of 5/20, 5 is divided by 5 and 20 is divided by 5. This simplifies the fraction to 1/4. The fraction is now in its simplest form.
Expressing a fraction in its simplest form is essential for understanding basic mathematics. Expressing 105 20 as a mixed number in its simplest form can be achieved by first converting it to an improper fraction. The numerator of the improper fraction can then be divided by the denominator to get the whole number part of the mixed number. Finally, the numerator and denominator can be divided by their greatest common factor to simplify the fraction to its lowest terms.
Related Posts:
- What is 35 18 as a Mixed Number? Mixed numbers are a combination of a whole number and a fraction. A mixed number is composed of two parts: the whole number and the fractional part.…
- What Is 6 1/10 As An Improper Fraction? An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In other words, it is a fraction that looks like…
- Numbers That Add Up to 8 Eight is a magical number in mathematics. It is the first number that is divisible by both two and four. There are numerous combinations of numbers that…
- Understanding 9.8 as a Mixed Number The concept of using a mixed number to represent a decimal number is one of the basic foundations of mathematics. A mixed number is a combination of…
- Understanding 5.666 as a Mixed Number A mixed number is a combination of a whole number and a fraction. It is expressed as a whole number followed by a fractional part. For example,…
- What is 6.1 as a Mixed Number? A mixed number is a combination of a whole number and a fraction. So 6.1 as a mixed number would be 6 1/10, which is a whole…
- Understanding 53/12 as a Mixed Number When dealing with fractions, it’s important to understand the basic concepts and definitions. A mixed number is a combination of a whole number and a fraction. It’s…
- What is a Half Pint of Milk? A half pint of milk is a type of liquid dairy product that is produced from cows' milk. It is also known as a "cup" or "glass"…
- Understanding 10.4 as a Mixed Number Mixed numbers are numbers that consist of both a whole number and a fraction. They are written with a whole number part and a fraction part separated…
- 13.875 as a fraction Fractions are a type of mathematical expression used to represent the ratio of two numbers. By definition, a fraction is a number that is expressed as the…
- What is 13/12 a Mixed Fraction? A mixed fraction, also known as a mixed number, is a fraction that is composed of both a whole number and a fractional part. 13/12 is an…
- Which One Doesn't Belong: Fractions Fractions are a fundamental part of mathematics and a key concept for understanding more complicated mathematical operations. But when it comes to fractions, which one doesn’t belong?…
- What is 68/3 As A Mixed Number? 68/3 is a mixed number that is composed of a whole number and a fraction. A mixed number is a combination of a whole number and a…
- What is 0.218 As A Fraction? 0.218 as a fraction is a mathematical representation of a decimal number. It is one of the most common ways of expressing numbers in mathematics. Decimals are…
- 23 in Simplest Form In mathematics, the simplest form of a number is its most basic representation in terms of factors. Simplifying a number into its simplest form is an important…
- The Sum of Two-Fifths and F is One-Half The sum of two-fifths and f is one of the most commonly asked questions in math classes. It is important to understand how fractions can be added…
- What is 30/20 as a Mixed Number? 30/20 as a mixed number is a mathematical concept which describes how to calculate a fraction of a number. This term is very common for students who…
